grassmann algebra
Fetched 2026-10-26 (cache).
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Noun
- {{lb|en|algebra}} A [[direct sum]] with an [[exterior product]] of [[multivector]] spaces which are all based on a same underlying finite-dimensional [[vector space]]. The [[associative algebra]] of sums and exterior products of scalars, vectors, [[blade]]s, multivectors, and hybrid (''i.e.'', non-[[homogeneous]]) sums of multivectors of different grades.
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